(-5x-7)(x+5)=0

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Solution for (-5x-7)(x+5)=0 equation: 


Simplifying
(-5x + -7)(x + 5) = 0

Reorder the terms:
(-7 + -5x)(x + 5) = 0

Reorder the terms:
(-7 + -5x)(5 + x) = 0

Multiply (-7 + -5x) * (5 + x)
(-7(5 + x) + -5x * (5 + x)) = 0
((5 * -7 + x * -7) + -5x * (5 + x)) = 0
((-35 + -7x) + -5x * (5 + x)) = 0
(-35 + -7x + (5 * -5x + x * -5x)) = 0
(-35 + -7x + (-25x + -5x2)) = 0

Combine like terms: -7x + -25x = -32x
(-35 + -32x + -5x2) = 0

Solving
-35 + -32x + -5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(35 + 32x + 5x2) = 0

Factor a trinomial.
-1((5 + x)(7 + 5x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {-5, -1.4}

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